Abstract
The problem of diffraction of time harmonic, electromagnetic waves by a circular aperture in a perfectly conducting, plane screen between different media is considered. In this investigation, the incident wave is a plane wave travelling in a direction perpendicular to the screen. A Hertz vector formulation is used to reduce the electromagnetic problem to a system of scalar problems, which is shown to be governed by a pair of simultaneous integral equations of the second kind. The integral equations are valid for all wavelengths and are especially useful when the waves in both media have long wavelengths compared with the radius of the aperture. Low frequency approximations to the tangential components of the electric field in the aperture, the transmission coefficient, and the backscatter coefficient are obtained.
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